(a) Use differentiation to find a power series representation for f(x) = 10 7= 0 f(x) = m What is the radius of convergence, R? (b) Use part (a) to find a power series for 00 Σ 7= 0 am 7 (3 + x)² What is the radius of convergence, RP (c) Use part (b) to find a power series for f(x) 20 (3-X)³ n = 2 (3 + x)³ What is the radius of convergence, RP R=
(a) Use differentiation to find a power series representation for f(x) = 10 7= 0 f(x) = m What is the radius of convergence, R? (b) Use part (a) to find a power series for 00 Σ 7= 0 am 7 (3 + x)² What is the radius of convergence, RP (c) Use part (b) to find a power series for f(x) 20 (3-X)³ n = 2 (3 + x)³ What is the radius of convergence, RP R=
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